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Fill in the blanks in the following table.

  Addition Substraction Multiplication Division
Rational Numbers Yes Yes ... No
Integers ... Yes ... No
Whole Numbers ... ... Yes ...
Natural Numbers ... No ... ...

 

Answers (1)

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It can be seen that rational numbers, integers, whole numbers, and natural numbers are not closed under division because zero is included in these numbers. Any number divided by zero is not defined.  

  Addition Substraction Multiplication Division
Rational Numbers Yes Yes Yes No
Integers Yes Yes Yes No
Whole Numbers Yes No Yes No
Natural Numbers Yes No Yes Yes

 

Posted by

Divya Prakash Singh

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